Definately one of the most prevelant reasons, and the tides wreak havoc moving it around if it weren't set. They did some pretty extensive tests to establish a setup that keeps it in place, it was an interesting tale. Of course if a cat 3+ hits directly, you can expect to be calling some heavy hitters in to get it back in water.
I don't know about the Drum, but the Alabama got shifted pretty badly in her "berth" (or whatever you call that thing) and she appeared to be listing. I used to have a satellite photo of the battleship that showed how "crooked" the ship was after the hurricane, but I guess I deleted it from my hard drive. The aircraft display building and its contents took one on the chin. When I passed through Mobile last March, they had just about finished putting up a new building, but the planes were all still in the parking lot. I took these photos from the Drum's deck: The only damage I saw on the Drum was that there was some hull plating (or whatever the squids call it) missing from the stern and you could see the ribs/frames inside. It looked more like an age/corrosion issue than hurricane damage to me.